Rocky Mountain Mathematics Consortium Summer School on Free Probability, Random Matrices, and Applications

该奖项将为落基山数学联盟（RMMC）暑期学校提供支持：自由概率，随机矩阵和应用，将于2020年7月13日至17日在怀俄明州大学举行。为期一周的暑期学校将让研究生和早期职业研究人员接触重要的数学，促进合作，并在参与者之间建立联系。对这个暑期学校的支持将为早期职业研究人员、代表性不足的群体的成员以及缺乏联邦支持的研究人员提供一个与该领域一些最好的研究人员互动的绝佳机会。自由概率，由Voiculescu引入，是一种基于自由独立的非交换概率理论，取代了经典独立。它是一个极其丰富的理论，在算子代数和随机矩阵理论中有着深刻的应用。它已成为研究算子代数，随机矩阵理论和相关领域的研究人员的重要工具。在暑期学校，将有几个迷你课程以及研究会谈。这些讲座将为不同的听众带来自由概率和随机矩阵理论的主题，并将帮助参与者走向这一研究领域的前沿。 会议的网站可以在www.example.com上找到http://zhuang.snowyrange.science/RMMC2020/index.html.This奖项反映了NSF的法定使命，并被认为值得通过使用基金会的知识价值和更广泛的影响审查标准进行评估来支持。

This award will provide support for the Rocky Mountain Mathematics Consortium (RMMC) Summer School: Free Probability, Random Matrices, and Applications, that will be held from July 13-17, 2020, at the University of Wyoming. This week-long summer school will expose both graduate students and early-career researchers to important mathematics, foster collaboration, and build ties between the participants. Support for this summer school will provide a great opportunity for early-career researchers, members of underrepresented groups, and researchers lacking federal support to interact with some of the best researchers in the field.Free probability, introduced by Voiculescu, is a noncommutative probability theory based on free independence that takes the place of classical independence. It is an extremely rich theory with deep applications to operator algebras and random matrix theory. It has became an essential tool for researchers working on operator algebras, random matrix theory and related fields. At the summer school there will be several mini-courses together as well as research talks. These lectures will bring topics in free probability and random matrix theory to a diverse audience and will help the participants move to the frontiers of this research field. The website of the conference can be found at http://zhuang.snowyrange.science/RMMC2020/index.html.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.